34021300033413 has 48 divisors (see below), whose sum is σ = 62762132264832. Its totient is φ = 17242344000000.

The previous prime is 34021300033367. The next prime is 34021300033417. The reversal of 34021300033413 is 31433000312043.

34021300033413 is a `hidden beast` number, since 3 + 4 + 0 + 21 + 300 + 0 + 334 + 1 + 3 = 666.

It is not a de Polignac number, because 34021300033413 - 2⁶ = 34021300033349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021300033417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598664088 + ... + 598720913.

It is an arithmetic number, because the mean of its divisors is an integer number (1307544422184).

Almost surely, 2^{34021300033413} is an apocalyptic number.

34021300033413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34021300033413 is a deficient number, since it is larger than the sum of its proper divisors (28740832231419).

34021300033413 is a wasteful number, since it uses less digits than its factorization.

34021300033413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197385066 (or 1197385063 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34021300033413 its reverse (31433000312043), we get a palindrome (65454300345456).

The spelling of 34021300033413 in words is "thirty-four trillion, twenty-one billion, three hundred million, thirty-three thousand, four hundred thirteen".